Work

Harmonic Morphisms and Minimal Conformal Foliations on Lie Groups

Year: 2025

Type: article

Abstract: Let G be a Lie group equipped with a left-invariant Riemannian metric. Let K be a semisimple and normal subgroup of G generating a left-invariant conformal foliation $$\mathcal {F}$$ F on G. We then show that the foliation $$\mathcal {F}$$ F is Riemannian and minimal. This means that locally the leaves of $$\mathcal {F}$$ F are fibres of a harmonic morphism. We also prove that if the metric restricted to K is biinvariant then $$\mathcal {F}$$ F is totally geodesic.

Source: Annals of Global Analysis and Geometry

DOI: 10.1007/s10455-025-10015-2

Authors: Sigmundur Gudmundsson, Thomas Jack Munn

Institution: Lund University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Lunds Universitet